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Matrices — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMatrices2 Marks
Question
Find $x$ and $y$ if $x+y=\left[\begin{array}{ll}5 & 2 \\ 0 & 9\end{array}\right]$ and $x-y=\left[\begin{array}{cc}3 & 6 \\ 0 & -1\end{array}\right]$
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Answer

x + y + x - y $ = \left[ {\begin{array}{*{20}{c}} 5&2 \\ 0&9 \end{array}} \right] + \left[ {\begin{array}{*{20}{c}} 3&6 \\ 0&{ - 1} \end{array}} \right]$
$2x = \left[ {\begin{array}{*{20}{c}} 8&8 \\ 0&8 \end{array}} \right]$
$x = \left[ {\begin{array}{*{20}{c}} 4&4 \\ 0&4 \end{array}} \right]$
And, (x + y) - (x - y) $ = \left[ {\begin{array}{*{20}{c}} 5&2 \\ 0&9 \end{array}} \right] - \left[ {\begin{array}{*{20}{c}} 3&6 \\ 0&{ - 1} \end{array}} \right]$
x + y - x + y $ = \left[ {\begin{array}{*{20}{c}} 2&{ - 4} \\ 0&{10} \end{array}} \right]$
$y = \left[ {\begin{array}{*{20}{c}} 1&{ - 2} \\ 0&5 \end{array}} \right]$

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